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Find all right-angled triangles whose side lengths form an arithmetic sequence.
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Dr Math
there are infinity solutions. for leg lenght a, difference AP is a/3. So right triangle has sides: a, a+a/3, a+2/3a
So all triangles are similar to triangle 3-4-5 and has length of sides: a ; 4/3 a ; 5/3*a
So all triangles are similar to triangle 3-4-5 and has length of sides: a ; 4/3 a ; 5/3*a
Dr. Math
The only right triangles whose sides form an arithmetic sequence are the triples of the triangle with sides 3, 4, 5. So there are infinitely many of them.
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